122626 ÷ 18 
We want to figure out the number of times 122626 can be divided by 18.

Advancing to step 1:
18 goes into 1 0 times with a remainder of 1.
Record the quotient 0 as the next digit in the result. 
Result so far: 0.0
Deduct 0 from 1 and we're left with 1.
Bring next digit (2) of the dividend behind the 1 and repeat the process: 12 / 18

Let's proceed to step 2:
If we divide 12 by 18, we get 0 and a remainder of 12.
Use 0 as the next digit of our solution. 
Result so far: 0.0
Deduct 0 from 12 and we're left with 12.
Fetch the next digit (2) from the dividend, attach it to 12 and continue: 122 / 18

Step 3:
18 goes into 122 6 times with a remainder of 14.
Record the quotient 6 as the next digit in the result. 
Result so far: 6.0
Subtracting 108 from 122 leaves us with 14.
Include the next digit (6) from the dividend after 14, then repeat: 146 / 18

On to step 4:
If we divide 146 by 18, we get 8 and a remainder of 2.
Write down 8 as next digit of the result. 
Result so far: 68.0
If we subtract 144 from 146, we get 2.
Fetch the next digit (2) from the dividend, attach it to 2 and continue: 22 / 18

Let's proceed to step 5:
18 goes into 22 1 times with a remainder of 4.
Record the quotient 1 as the next digit in the result. 
Result so far: 681.0
Deduct 18 from 22 and we're left with 4.
Include the next digit (6) from the dividend after 4, then repeat: 46 / 18

On to step 6:
18 goes into 46 2 times with a remainder of 10.
The next digit of our result is 2. 
Result so far: 6812.0
Subtracting 36 from 46 leaves us with 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
The number 18 fits into 100 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6812.5
If we subtract 90 from 100, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

On to step 8:
The number 18 fits into 100 5 times, leaving a remainder of 10.
The number 5 becomes the next digit in our result. 
Result so far: 6812.55
The remainder is 10 after subtracting 90 from 100.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

After the division, we end up with 6812.55 and a remainder of 0.01.